Approximate solutions for the Couette viscometry equation
نویسندگان
چکیده
منابع مشابه
Approximate Solutions for the Couette Viscometry Equation
The recovery of flow curves for non-Newtonian fluids from Couette rheometry measurements involves the solution of a quite simple first kind Volterra integral equation with a discontinuous kernel for which the solution, as a summation of an infinite series, has been known since 1953. Various methods, including an Euler–Maclaurin sum formula, have been proposed for the estimation of the value of ...
متن کاملAnalytical solutions for the fractional Fisher's equation
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...
متن کاملPeriodic analytic approximate solutions for the Mathieu equation
We propose two methods to find analytic periodic approximations intended for differential equations of Hill type. Here, we apply these methods on the simplest case of the Mathieu equation. The former has been inspired in the harmonic balance method and designed to find, making use on a given algebraic function, analytic approximations for the critical values and their corresponding periodic sol...
متن کاملApproximate Solutions for Fractional Differential Equation in the Unit Disk
Recently, fractional differential equations and inclusions have been of great interest. It is caused both by the intensive development of the theory of fractional calculus [9] itself and by the applications of such constructions in various sciences and topics such as physics, mechanics, chemistry, engineering, control systems, etc. [1,4,10,11,12,18]. Moreover, fractional differential equations ...
متن کاملOn Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[ fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),] where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generaliz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2005
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700035280